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Finding the Fourth Proportional to 26,816.40, 40,208.40 and 12,022.56

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Solution

The fourth proportional to 26,816.40, 40,208.40 and 12,022.56 is: 18,026.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,816.40 : 40,208.40 = 12,022.56 : x
  2. Step 2: Convert to fraction form
    26,816.40/40,208.40 = 12,022.56/x
  3. Step 3: Cross multiply
    26,816.40x = 40,208.40 × 12,022.56
  4. Step 4: Simplify right side
    26,816.40x = 483,407,901.50
  5. Step 5: Solve for x
    x = 483,407,901.50/26,816.40
  6. Step 6: Final answer
    x = 18,026.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.